Question: 1.5: * [20 marks] Continuous-time Dynamical Systems II Do the following flows define continuous-time dynamical systems? Prove your statement and, if they are dynamical systems

1.5: * [20 marks] Continuous-time Dynamical Systems II Do the following

1.5: * [20 marks] Continuous-time Dynamical Systems II Do the following flows define continuous-time dynamical systems? Prove your statement and, if they are dynamical systems then sketch their behaviour in the phase space and the extended phase space. = (a) X = R, T = RH. Stx := x + 2t (b) X = R, T=Rt. Stx := 2x +t (c) X = R, T=Rt. Stx := xet = =

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