1) Give definition of dynamical systems a) A dynamical systems is a mathematical informalization for any fixed rule that describe the dependence of the position of a point in some ambient space on a parameter b) A dynamical systems is a mathematical formalization for any unfixed rule that describe the dependence of the position of a point in some ambient space on a parameter c) A dynamical systems is a mathematical formalization for any fixed rule that describe the dependence of the position of a point in some ambient space on a parameter d) A dynamical systems is a mathematical informalization for any unfixed rule that describe the dependence of the position of a point in some ambient space on a parameter 2) Following image is the example of dynamical systems except a) b) c) d) e) 3) Give the meaning of ambient space a) a state to it in the other sense that all its points have a position mark that can change when something changes parameters b) a state to it in the other sense that several of its points have a position mark that can change when something changes parameters c) a state to it in the other sense that all its points doesn't have a position mark that can change when something changes parameters d) a state to it in the other sense that all its points have a position mark that cannot change when something changes parameters 4) Give the meaning of evolution of system a) providing a way of going from several particular state to any other state reachable from the initial state via a value of the parameter b) providing a way of going from several particular state to some other state reachable from the initial state via a value of the parameter c) providing a way of going from all particular state to any other state reachable from the initial state via a value of the parameter d) providing a way of going from all particular state to some other state reachable from the initial state via a value of the parameter 5) The term 'generalized' refer to a) the coordinates that define the relative configuration of a system with unreferenced configuration b) the coordinates that define the unrelative configuration of a system with unreferenced configuration c) the coordinates that define the discrete configuration of a system with a referenced configuration d) the coordinates that define the relative configuration of a system with a referenced configuration 6) Evolution of systems always refer to a) providing a way of going from some particular state to any other state reachable from that initial state via a value of the parameter b) providing a way of going from some particular state to several other state reachable from that initial state via a value of the parameter c) providing a way of going from any particular state to any other state reachable from that initial state via a value of the parameter d) providing a way of going from any particular state to any other state reachable from that second state via a value of the parameter 7) Give the name of a beautiful example of a type of growth that is asymptotically exponential a) Rabbits of Leonardo De Caprio b) Rabbits of Leonardo of Pisa c) Rabbits of Leonardo Da Vincci d) Rabbits of Leonardo Albuqharqi 8) Following are other definition of dynamical systems except a) A dynamical systems is a triple (S, T, ɸ), where S is the state space (or phase space), T is the parameter space and ɸ: (T x S) → S b) Dynamical system as a field of study attempts to understand the structure of a changing mathematical systems by identifying and analyzing the things that do not change. c) Dynamical systems is the study of the information contained in and the effects of groups of transformations of a space d) Dynamical systems as a field of study, is a type of mathematical analysis: the study of the informal properties of sets and the structures defined on them.

MKG4043 DYNAMICAL SYSTEMS -QUIZ 1

by
Print
Embed

Leaderboard

Visual style

Options

Switch template

Continue editing: ?