A01=C.M. Place
A01=D. Arrowsmith
advanced dynamical systems applications
Asymptotically Stable
Author_C.M. Place
Author_D. Arrowsmith
bifurcation theory
canonical
Canonical System
Category=PBKJ
Category=PBW
Cellular Automata
Chaotic Orbits
Closed Orbit
curve
differential
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equation
fixed
Fixed Point
Flip Bifurcation
Fold Bifurcation
fractal geometry
Homoclinic Tangle
Hopf Bifurcation
Limit Cycle
Linear System
Linearization Theorem
mathematical modeling
nonlinear dynamics
Periodic Orbits
Periodic Point
phase
Phase Portrait
Poincare Map
point
portrait
qualitative
Qualitatively Equivalent
Rationally Independent
Saddle Node Bifurcation
Sierpinski Gasket
Solid Torus
solution
Solution Curves
stability analysis
undergraduate mathematics
Unstable Manifold
Van Der Pol Equation
Product details
- ISBN 9780412390807
- Weight: 610g
- Dimensions: 156 x 234mm
- Publication Date: 01 Aug 1992
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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This text discusses the qualitative properties of dynamical systems including both differential equations and maps. The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams) to develop the material, including a treatment of chaotic behavior.
The unprecedented popular interest shown in recent years in the chaotic behavior of discrete dynamic systems including such topics as chaos and fractals has had its impact on the undergraduate and graduate curriculum. However there has, until now, been no text which sets out this developing area of mathematics within the context of standard teaching of ordinary differential equations.
Applications in physics, engineering, and geology are considered and introductions to fractal imaging and cellular automata are given.
