The Experts below are selected from a list of 270 Experts worldwide ranked by ideXlab platform
Reza Zarghami - One of the best experts on this subject based on the ideXlab platform.
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analytical approximate solutions for a general Nonlinear Resistor Nonlinear capacitor circuit model
Applied Mathematical Modelling, 2015Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza ZarghamiAbstract:Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a Nonlinear Resistor in series with a Nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the Resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical mathematical technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the Nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic Nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.
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Analytical approximate solutions for a general Nonlinear Resistor–Nonlinear capacitor circuit model
Applied Mathematical Modelling, 2015Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza ZarghamiAbstract:Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a Nonlinear Resistor in series with a Nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the Resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical mathematical technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the Nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic Nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.
N. Inaba - One of the best experts on this subject based on the ideXlab platform.
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Solvability of network with Nonlinear Resistors
ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196), 2001Co-Authors: H. Nakajima, T. Miyoshi, N. InabaAbstract:In the present study, we analyze the solvability of networks which comprise multi-terminal Nonlinear Resistor elements, electric sources and a linear LCR circuit. The condition for unique time evolution of the network irrespective of the initial state is obtained in terms of connectivity with respect to specific elements of the linear LCR circuit. Nonlinear Resistor elements have N (N/spl ges/2) terminals. The terminal currents are given by single-valued functions of the terminal voltages in case of voltage-controlled Nonlinear Resistors. The terminal voltages are given by single-valued functions of the terminal currents in case of current controlled ones.
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ISCAS (3) - Solvability of network with Nonlinear Resistors
ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196), 2001Co-Authors: H. Nakajima, T. Miyoshi, N. InabaAbstract:In the present study, we analyze the solvability of networks which comprise multi-terminal Nonlinear Resistor elements, electric sources and a linear LCR circuit. The condition for unique time evolution of the network irrespective of the initial state is obtained in terms of connectivity with respect to specific elements of the linear LCR circuit. Nonlinear Resistor elements have N (N/spl ges/2) terminals. The terminal currents are given by single-valued functions of the terminal voltages in case of voltage-controlled Nonlinear Resistors. The terminal voltages are given by single-valued functions of the terminal currents in case of current controlled ones.
C. Visone - One of the best experts on this subject based on the ideXlab platform.
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Hardware implementation of a CNN for analog simulation of reaction-diffusion equations
ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196), 2001Co-Authors: Vincenzo Bonaiuto, G. Miano, A. Maffucci, Mario Salerno, Fausto Sargeni, P. Serra, C. VisoneAbstract:In this paper the hardware implementation is discussed of a cellular Nonlinear network (CNN) for analog simulation of reaction-diffusion partial differential equations. The elementary cell consists of the classic Nonlinear circuit typical in these CNNs, except for the characteristic of the Nonlinear Resistor; that is chosen to be non-monotone. The control laws describing the contribution of the neighbor cells depend both on the currents and the voltages of the capacitors.
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ISCAS (3) - Hardware implementation of a CNN for analog simulation of reaction-diffusion equations
ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196), 2001Co-Authors: Vincenzo Bonaiuto, G. Miano, A. Maffucci, Mario Salerno, Fausto Sargeni, P. Serra, C. VisoneAbstract:In this paper the hardware implementation is discussed of a cellular Nonlinear network (CNN) for analog simulation of reaction-diffusion partial differential equations. The elementary cell consists of the classic Nonlinear circuit typical in these CNNs, except for the characteristic of the Nonlinear Resistor; that is chosen to be non-monotone. The control laws describing the contribution of the neighbor cells depend both on the currents and the voltages of the capacitors.
Hooman Fatoorehchi - One of the best experts on this subject based on the ideXlab platform.
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analytical approximate solutions for a general Nonlinear Resistor Nonlinear capacitor circuit model
Applied Mathematical Modelling, 2015Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza ZarghamiAbstract:Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a Nonlinear Resistor in series with a Nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the Resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical mathematical technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the Nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic Nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.
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Analytical approximate solutions for a general Nonlinear Resistor–Nonlinear capacitor circuit model
Applied Mathematical Modelling, 2015Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza ZarghamiAbstract:Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a Nonlinear Resistor in series with a Nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the Resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical mathematical technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the Nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic Nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.
H. Nakajima - One of the best experts on this subject based on the ideXlab platform.
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Solvability of network with Nonlinear Resistors
ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196), 2001Co-Authors: H. Nakajima, T. Miyoshi, N. InabaAbstract:In the present study, we analyze the solvability of networks which comprise multi-terminal Nonlinear Resistor elements, electric sources and a linear LCR circuit. The condition for unique time evolution of the network irrespective of the initial state is obtained in terms of connectivity with respect to specific elements of the linear LCR circuit. Nonlinear Resistor elements have N (N/spl ges/2) terminals. The terminal currents are given by single-valued functions of the terminal voltages in case of voltage-controlled Nonlinear Resistors. The terminal voltages are given by single-valued functions of the terminal currents in case of current controlled ones.
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ISCAS (3) - Solvability of network with Nonlinear Resistors
ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196), 2001Co-Authors: H. Nakajima, T. Miyoshi, N. InabaAbstract:In the present study, we analyze the solvability of networks which comprise multi-terminal Nonlinear Resistor elements, electric sources and a linear LCR circuit. The condition for unique time evolution of the network irrespective of the initial state is obtained in terms of connectivity with respect to specific elements of the linear LCR circuit. Nonlinear Resistor elements have N (N/spl ges/2) terminals. The terminal currents are given by single-valued functions of the terminal voltages in case of voltage-controlled Nonlinear Resistors. The terminal voltages are given by single-valued functions of the terminal currents in case of current controlled ones.
