Dynamics and Bifurcations (Texts in Applied Mathematics, 3)
Product Description
Dynamics and Bifurcations (Texts in Applied Mathematics, 3)
In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate and beginning graduate students in mathematics or science and engineering with a modest foundation of knowledge. Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Further, the authors investigate the dynamics of planar autonomous equations where new dynamical behavior, such as periodic and homoclinic orbits appears.
Technical Specifications
You might also like
Singularities and Groups in Bifurcation Theory: Volume I (Applied Mathematical Sciences)
Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry And Engineering (Studies in Nonlinearity)
Global Bifurcations and Chaos: Analytical Methods (Applied Mathematical Sciences)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences)
Applied Nonlinear Dynamics: Analytical, Computational and Experimental Methods
Chaos: An Introduction to Dynamical Systems (Textbooks in Mathematical Sciences)
Elementary Stability and Bifurcation Theory (Undergraduate Texts in Mathematics)
Partial Differential Equations (Applied Mathematical Sciences) (v. 1)