Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and EngineeringCRC Press, 4. 5. 2018. - 532 страница This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. |
Садржај
1 Overview | 1 |
Part I OneDimensional Flows | 13 |
Part II TwoDimensional Flows | 123 |
Part III Chaos | 307 |
Answers to Selected Exercises | 460 |
| 470 | |
Author Index | 483 |
| 487 | |
Друга издања - Прикажи све
Nonlinear Dynamics and Chaos: With Applications to Physics, Biology ... Steven H. Strogatz Приказ није доступан - 2014 |
Nonlinear Dynamics and Chaos: With Applications to Physics, Biology ... Steven H. Strogatz Приказ није доступан - 2014 |
Nonlinear Dynamics and Chaos STEVEN H. STROGATZ,Taylor & Francis Group Приказ није доступан - 2019 |
Чести термини и фразе
analysis approach approximate assume attracting attractor becomes behavior bifurcation called chaos chaotic Chapter circle classify closed orbits Consider constant corresponding curve damping defined denote depends derive determined diagram differential equation dimension discussed dynamics eigenvalues equation equilibrium example Exercise exist Finally fixed points flow force fractal function give given graph Hence increases initial conditions integration iteration limit cycle linear logistic look Lorenz mechanics method motion node nonlinear Note obtain occur origin oscillator parameter pendulum periodic phase portrait physical plot population positive predict problem region rotation saddle saddle-node scale Show shown in Figure side simple Sketch solution solve space spiral stable starting Suppose theorem tion trajectories unstable variables varies vector field yields zero