國立虎尾科技大學 |

Qualitative and Quantitative Analysis of Nonlinear Systems = Theory and Applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Qualitative and Quantitative Analysis of Nonlinear Systems/ by Michael Z. Zgurovsky, Pavlo O. Kasyanov.
Reminder of title:	Theory and Applications /
Author:	Zgurovsky, Michael Z.
other author:	Kasyanov, Pavlo O.
Description:	XXXIII, 240 p. 43 illus., 23 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Computational intelligence. -
Online resource:	https://doi.org/10.1007/978-3-319-59840-6
ISBN:	9783319598406

Qualitative and Quantitative Analysis of Nonlinear Systems = Theory and Applications /
Zgurovsky, Michael Z.

Qualitative and Quantitative Analysis of Nonlinear SystemsTheory 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,1112198-4182 ;. - Studies in Systems, Decision and Control,27.

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.

ISBN: 9783319598406

Standard No.: 10.1007/978-3-319-59840-6doiSubjects--Topical Terms:

568984
Computational intelligence.

LC Class. No.: Q342

Dewey Class. No.: 006.3

Qualitative and Quantitative Analysis of Nonlinear Systems = Theory and Applications /
LDR:02868nam a22004095i 4500 001 990859
003 DE-He213
005 20200629215341.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319598406 $9 978-3-319-59840-6
024 7 $a 10.1007/978-3-319-59840-6 $2 doi
035 $a 978-3-319-59840-6
050 4 $a Q342
072 7 $a UYQ $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a UYQ $2 thema
082 0 4 $a 006.3 $2 23
100 1 $a Zgurovsky, Michael Z. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1282544
245 1 0 $a Qualitative and Quantitative Analysis of Nonlinear Systems $h [electronic resource] : $b Theory and Applications / $c by Michael Z. Zgurovsky, Pavlo O. Kasyanov.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XXXIII, 240 p. 43 illus., 23 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Studies in Systems, Decision and Control, $x 2198-4182 ; $v 111
505 0 $a 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.
520 $a 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.
650 0 $a Computational intelligence. $3 568984
650 0 $a Computational complexity. $3 527777
650 0 $a Statistical physics. $3 528048
650 0 $a Control engineering. $3 1249728
650 1 4 $a Computational Intelligence. $3 768837
650 2 4 $a Complexity. $3 669595
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 1113607
650 2 4 $a Control and Systems Theory. $3 1211358
700 1 $a Kasyanov, Pavlo O. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 782418
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319598390
776 0 8 $i Printed edition: $z 9783319598413
776 0 8 $i Printed edition: $z 9783319867151
830 0 $a Studies in Systems, Decision and Control, $x 2198-4182 ; $v 27 $3 1254124
856 4 0 $u https://doi.org/10.1007/978-3-319-59840-6
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)