Chaotic Transitions in Deterministic and Stochastic Dynamical Systems
Subtitle: Applications of Melnikov Processes in Engineering, Physics, and Neuroscience.
Publisher: Princeton University Press
Published: January 1, 2002
Language: eng
Format: Hardcover
Number of pages: 246
ISBN-13: 9780691050942
Subjects: Cybernetics & systems theory; Mathematics for scientists & engineers; Stochastics; Theoretical methods; Stochastic systems; Differential Equations; Applied Mathematics; Stochastic Processes; Mathematics; Science/Mathematics; Advanced; Applied; Applied Science and Engineering; Mathematics / Advanced; Physics; Probability & Statistics - General; Chaotic behavior in systems; Differentiable dynamical syste; Differentiable dynamical systems
First sentence: This work has two main objectives: (1) to present the Melnikov method as a unified theoretical framework for the study of transitions and chaos in a wide class of deterministic and stochastic nonlinear planar systems, and (2) to demonstrate the method's usefulness in applications, particularly for stochastic systems.