Qualitative and Quantitative Analysis of Nonlinear Systems
Zgurovsky, Michael Z.
Qualitative and Quantitative Analysis of Nonlinear Systems Theory and Applications / [electronic resource] : by Michael Z. Zgurovsky, Pavlo O. Kasyanov. - 1st ed. 2018. - XXXIII, 240 p. 43 illus., 23 illus. in color. online resource. - Studies in Systems, Decision and Control, 111 2198-4182 ; . - Studies in Systems, Decision and Control, 111 .
Acceso multiusuario
Introduction: Special Classes of Extended Phase Spaces of Distributions -- Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results -- Regularity of Solutions for Nonlinear Systems -- Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems -- Uniform Trajectory Attractors for Non-autonomous Nonlinear Systems -- Indirect Lyapunov Method for Autonomous Dynamical Systems.
Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.
9783319598406
Computational intelligence.
Computational complexity.
Statistical physics.
Control engineering.
Computational Intelligence.
Complexity.
Applications of Nonlinear Dynamics and Chaos Theory.
Control and Systems Theory.
Q342
006.3
Qualitative and Quantitative Analysis of Nonlinear Systems Theory and Applications / [electronic resource] : by Michael Z. Zgurovsky, Pavlo O. Kasyanov. - 1st ed. 2018. - XXXIII, 240 p. 43 illus., 23 illus. in color. online resource. - Studies in Systems, Decision and Control, 111 2198-4182 ; . - Studies in Systems, Decision and Control, 111 .
Acceso multiusuario
Introduction: Special Classes of Extended Phase Spaces of Distributions -- Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results -- Regularity of Solutions for Nonlinear Systems -- Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems -- Uniform Trajectory Attractors for Non-autonomous Nonlinear Systems -- Indirect Lyapunov Method for Autonomous Dynamical Systems.
Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.
9783319598406
Computational intelligence.
Computational complexity.
Statistical physics.
Control engineering.
Computational Intelligence.
Complexity.
Applications of Nonlinear Dynamics and Chaos Theory.
Control and Systems Theory.
Q342
006.3
