978-3-319-17852-3

Contents
xiii
5.4.1 PeriodicOrbits.....................................302
5.5 Bifurcations .............................................309
6. Computation of Solutions ...................................317
6.1 Iteration* ...............................................317
6.2 NumericalMethods.......................................321
6.2.1 TheEulerMethod..................................322
6.2.2 TheRunge–KuttaMethod...........................327
6.3 SystemsofEquations .....................................329
Appendix A. Review and Exercises .............................333
A.1 ReviewMaterial..........................................333
A.2 Supplementary Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339
Appendix B. MATLAB R○ Supplement ..........................349
B.1 CodingAlgorithmsforDifferentialEquations ................351
B.2 MATLAB’sBuilt-inODESolvers...........................354
B.3 Symbolic Solutions Using dsolve ............................357
B.4 OtherRoutines...........................................358
B.5 Examples................................................359
References ......................................................365
Index ...........................................................367