Nonlinear dynamics and chaos :
Strogatz, Steven H.
Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering / Steven H. Strogatz - Second edition - xiii, 513 pages : illustrations ; 23 cm.
Includes bibliographical references (pages 470-482) and indexes.
Overview -- One-dimensional flows -- Flows on the line -- Bifurcations -- Flows on the circle -- Two-dimensional flows -- Linear systems -- Phase plane -- Limit cycles -- Bifurcations revisited -- Chaos -- Lorenz equations -- One-dimensional maps -- Fractals -- Strange attractors.
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.
0813349109 (pbk.) 9780813349107 (pbk.)
2015410320
GBB492034 bnb
016841752 Uk
Chaotic behavior in systems
Dynamics.
Nonlinear theories
Q172.5.C45 / S767 2015
515.352
Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering / Steven H. Strogatz - Second edition - xiii, 513 pages : illustrations ; 23 cm.
Includes bibliographical references (pages 470-482) and indexes.
Overview -- One-dimensional flows -- Flows on the line -- Bifurcations -- Flows on the circle -- Two-dimensional flows -- Linear systems -- Phase plane -- Limit cycles -- Bifurcations revisited -- Chaos -- Lorenz equations -- One-dimensional maps -- Fractals -- Strange attractors.
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.
0813349109 (pbk.) 9780813349107 (pbk.)
2015410320
GBB492034 bnb
016841752 Uk
Chaotic behavior in systems
Dynamics.
Nonlinear theories
Q172.5.C45 / S767 2015
515.352