Description:
Existence and uniqueness theorems, linearization, stability theory, and phase space analysis.
Description:
Existence and uniqueness theorems, linearization, stability theory, and phase space analysis.
Description:
Existence and uniqueness theorems, linearization, stability theory, and phase space analysis.
Semester:
Fall of every year
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Prerequisite:
(MTH 235 or MTH 255H or LBS 220 or MTH 340) and (MTH 309 or MTH 415 or MTH 314)
Description:
Existence and uniqueness theorems, linearization, stability theory, and phase space analysis.
Semester:
Fall of every year
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Prerequisite:
(MTH 235 or MTH 255H or MTH 340) and (MTH 309 or MTH 415 or MTH 314)
Description:
Existence and uniqueness theorems, linearization, stability theory, and phase space analysis.
Semester:
Fall of every year
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Prerequisite:
(MTH 235 or MTH 255H or MTH 340 or MTH 347H) and (MTH 309 or MTH 317H or MTH 314 or MTH 415)
Description:
Existence and uniqueness theorems; Linearization; Local and global stability; Saddle-node, Hopf and heteroclinic bifurcations; Hamiltonian and gradient system; The Poincare map; The Poincare-Bendixson theorem and limit cycles; Selected applications.
Semester:
Fall of every year
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Prerequisite:
(MTH 235 or MTH 255H or MTH 340 or MTH 347H) and (MTH 309 or MTH 317H or MTH 314 or MTH 415)
Description:
Existence and uniqueness theorems; Linearization; Local and global stability; Saddle-node, Hopf and heteroclinic bifurcations; Hamiltonian and gradient system; The Poincare map; The Poincare-Bendixson theorem and limit cycles; Selected applications.
Semester:
Fall of every year
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Prerequisite:
(MTH 235 or MTH 340 or MTH 347H) and (MTH 309 or MTH 317H or MTH 314 or MTH 415)
Description:
Existence and uniqueness theorems; Linearization; Local and global stability; Saddle-node, Hopf and heteroclinic bifurcations; Hamiltonian and gradient system; The Poincare map; The Poincare-Bendixson theorem and limit cycles; Selected applications.