An introduction to chaotic dynamical systems. (2018)

• Record Type: Book
• Further Information: Note: Robert L. Devaney.
• Other Names: Devaney, Robert L, 1948-
• Contents: Preface (1985) -- Preface to the second edition (1988) -- Part I : One-dimensional dynamics. Examples of dynamical systems ; Preliminaries form calculus ; Elementary definitions ; Hyberbolicity ; An example : the quadratic family ; Symbolic dynamics ; Topological conjugacy ; Chaos ; Structural stability ; Sarkovskii's theorem ; The Schwarzian derivative ; Bifurcation theory ; Another view of period three ; Maps of the circle ; Morse-Smale diffeomorphisms ; Homoclinic points and bifurcations ; The period-doubling route to chaos ; The kneading theory ; Genealogy of periodic points -- Part II : Higher dimensional dynamics. Preliminaries from linear algebra and advanced calculus ; The dynamics of linear maps : two and three dimensions ; The horseshow map ; Hyperbolic toral automorphisms ; Attractors ; The stable and unstable manifold theorem ; Global results and hyperbolic sets ; The Hopf bifurcation ; The Hénon map -- Part III : Complex analytic dynamics. Preliminaries from complex analysis ; Quadratic maps revisited ; Normal families and exceptional points ; Periodic points ; The Julia set ; The geometry of Julia sets ; Natural periodic points ; The Mandelbrot set ; An example : the exponential function.
• Edition: 2nd ed
• Publisher Details: Place of publication not identified : CRC Press
• Publication Date: 2018
• Extent: 1 online resource (360 pages)
• Subjects: 515.352; Differentiable dynamical systems; Chaotic behavior in systems; Dynamique différentiable; Chaos; Chaotic behavior in systems; Differentiable dynamical systems; Caos (sistemas dinâmicos); Chaos déterministe; Dynamique différentiable; Chaos (théorie des systèmes); Systèmes dynamiques; Chaotisches System; Dynamisches System
• Languages: English
• ISBNs: 9780429981937; 0429981937
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.