001463175 000__ 04654cam\a2200613\i\4500
001463175 001__ 1463175
001463175 003__ OCoLC
001463175 005__ 20230601003309.0
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001463175 008__ 230414s2023\\\\sz\a\\\\ob\\\\001\0\eng\d
001463175 020__ $$a9783031251542$$qelectronic book
001463175 020__ $$a3031251547$$qelectronic book
001463175 020__ $$z9783031251535
001463175 020__ $$z3031251539
001463175 0247_ $$a10.1007/978-3-031-25154-2$$2doi
001463175 035__ $$aSP(OCoLC)1375994966
001463175 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dUKAHL$$dYDX
001463175 049__ $$aISEA
001463175 050_4 $$aQ295$$b.D55 2023
001463175 08204 $$a003$$223/eng/20230414
001463175 1001_ $$aDilão, Rui,$$eauthor.
001463175 24510 $$aDynamical system and chaos :$$ban introduction with applications /$$cRui Dilão.
001463175 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2023]
001463175 300__ $$a1 online resource (ix, 326 pages) :$$billustrations.
001463175 336__ $$atext$$btxt$$2rdacontent
001463175 337__ $$acomputer$$bc$$2rdamedia
001463175 338__ $$aonline resource$$bcr$$2rdacarrier
001463175 4901_ $$aUNITEXT for physics
001463175 504__ $$aIncludes bibliographical references and index.
001463175 5050_ $$aDifferential Equations as Dynamical Systems -- Stability of fixed points -- Difference equations as dynamical systems -- Classification of fixed points -- Hamiltonian systems -- Numerical Methods.-Strange Attractors and Maps of an Interval -- Stable, Unstable and Centre manifolds.-Dynamics in the Centre Manifold -- Lyapunov Exponents and Oseledets Theorem -- Chaos -- Limit and Recurrent Sets.-Poincare Maps -- The Poincare-Bendixon Theorem -- Bifurcations of Differential Equations.-Singular Pertubations and Ducks.-Strange Attractors in Delay Equations -- Complexity of Strange Attractors.-Intermittency -- Cellular Automata -- Maps of the Complex Plane -- Stochastic Iteration of Function Systems -- Linear Maps on the Torus and Symbolic Dynamics -- Parametric Resonance -- Robot Motion -- Synchronisation of Pendula -- Synchronisation of Clocks -- Chaos in Stormer Problem.-Introduction to Celestial mechanics -- Introduction to non-Liner control Theory -- Appendices.
001463175 506__ $$aAccess limited to authorized users.
001463175 520__ $$aThis textbook introduces the language and the techniques of the theory of dynamical systems of finite dimension for an audience of physicists, engineers, and mathematicians at the beginning of graduation. Author addresses geometric, measure, and computational aspects of the theory of dynamical systems. Some freedom is used in the more formal aspects, using only proofs when there is an algorithmic advantage or because a result is simple and powerful. The first part is an introductory course on dynamical systems theory. It can be taught at the master's level during one semester, not requiring specialized mathematical training. In the second part, the author describes some applications of the theory of dynamical systems. Topics often appear in modern dynamical systems and complexity theories, such as singular perturbation theory, delayed equations, cellular automata, fractal sets, maps of the complex plane, and stochastic iterations of function systems are briefly explored for advanced students. The author also explores applications in mechanics, electromagnetism, celestial mechanics, nonlinear control theory, and macroeconomy. A set of problems consolidating the knowledge of the different subjects, including more elaborated exercises, are provided for all chapters.
001463175 588__ $$aDescription based on online resource; title from digital title page (viewed on May 25, 2023).
001463175 650_0 $$aSystem theory.
001463175 650_0 $$aDynamics.
001463175 650_0 $$aChaotic behavior in systems.
001463175 655_0 $$aElectronic books.
001463175 77608 $$iPrint version:$$aDILAO, RUI.$$tDYNAMICAL SYSTEM AND CHAOS.$$d[Place of publication not identified] : SPRINGER INTERNATIONAL PU, 2023$$z3031251539$$w(OCoLC)1356569908
001463175 830_0 $$aUNITEXT for physics.
001463175 852__ $$bebk
001463175 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-25154-2$$zOnline Access$$91397441.1
001463175 909CO $$ooai:library.usi.edu:1463175$$pGLOBAL_SET
001463175 980__ $$aBIB
001463175 980__ $$aEBOOK
001463175 982__ $$aEbook
001463175 983__ $$aOnline
001463175 994__ $$a92$$bISE