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Multiple-Time-Scale Dynamical Systems
The IMA Volumes in Mathematics and its Applications 122
ISBN/EAN: 9780387951263
Umbreit-Nr.: 1619923
Sprache:
Englisch
Umfang: xi, 273 S.
Format in cm:
Einband:
gebundenes Buch
Erschienen am 06.10.2000
- Zusatztext
- InhaltsangabeForeword.- Preface.- Homoclinic orbits to invariant tori in Hamiltonian systems.- Geometric singular perturbation theory beyond normal hyperbolicity.- A primer on the exchange lemma for fast-slow systems.- Geometric analysis of the singularly perturbed planar fold.- Multiple time scales and canards in a chemical oscillator.- A geometric method for periodic orbits in singularly-perturbed systems.- The phenomenon of delayed bifurcation and its analyses.- Synchrony in networks of neuronal oscillators.- Metastable dynamics and exponential asymptotics in multi-dimensional domains.- List of workshop participants.
- Kurztext
- Contains papers that expose the development in mathematical techniques for analyzing systems with sub-processes evolving on many different time scales. Several geometric ideas are highlighted in this work that includes a theory of relaxation-oscillation phenomena in higher dimensional phase spaces.