Nonlinear dynamics :
Medio, Alfredo, 1938-
Nonlinear dynamics : a primer / Alfredo Medio, Marji Lines. - Cambridge ; New York : Cambridge University Press, 2001. - xiii, 300 p. : ill. ; 26 cm.
Includes bibliographical references (p. 287-293) and index.
Statics and dynamics : some elementary concepts --
Review of linear systems --
Stability of fixed points --
Invariant and attracting sets, periodic and quasiperiodic orbits --
Local bifurcations --
Chaotic sets and chaotic attractors --
Characteristic exponents, fractals, homoclinic orbits --
Transition to chaos --
The ergodic approach --
Deterministic systems and stochastic processes.
A textbook on the theory of nonlinear dynamical systems for non-mathematical final-year undergraduate or graduate students, or a reference book for researchers, in the physical and social sciences. It provides a comprehensive introduction including linear systems, stability theory of nonlinear systems, bifurcation theory, chaotic dynamics.
0521551862 0521558743 9780521558747
Differentiable dynamical systems.
Nonlinear theories.
515.352 / MED
Nonlinear dynamics : a primer / Alfredo Medio, Marji Lines. - Cambridge ; New York : Cambridge University Press, 2001. - xiii, 300 p. : ill. ; 26 cm.
Includes bibliographical references (p. 287-293) and index.
Statics and dynamics : some elementary concepts --
Review of linear systems --
Stability of fixed points --
Invariant and attracting sets, periodic and quasiperiodic orbits --
Local bifurcations --
Chaotic sets and chaotic attractors --
Characteristic exponents, fractals, homoclinic orbits --
Transition to chaos --
The ergodic approach --
Deterministic systems and stochastic processes.
A textbook on the theory of nonlinear dynamical systems for non-mathematical final-year undergraduate or graduate students, or a reference book for researchers, in the physical and social sciences. It provides a comprehensive introduction including linear systems, stability theory of nonlinear systems, bifurcation theory, chaotic dynamics.
0521551862 0521558743 9780521558747
Differentiable dynamical systems.
Nonlinear theories.
515.352 / MED