On the physical sample of “ discontinuous differential equations ”
$begingroup$
The following source contains several physical examples: https://arxiv.org/pdf/0901.3583.pdf.
How can I get the differential equation in "Example 2: Brick on a frictional ramp"? How can I grasp this as a math student?
$$
dot{v}(t) = g(sin theta) − nu g(cos theta) text{sign}(v(t))
$$
Moreover, do you think there is a physical form of the equation in "Example 3: Non-smooth harmonic oscillator"? (like exp 2.)
Thank you very much in advance for your answers.
real-analysis ordinary-differential-equations dynamical-systems stability-in-odes discontinuous-functions
edited Jan 11 at 13:54
Namaste
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asked Jan 11 at 13:23
ODumanODuman
11
$endgroup$
add a comment |
$begingroup$
The following source contains several physical examples: https://arxiv.org/pdf/0901.3583.pdf.
How can I get the differential equation in "Example 2: Brick on a frictional ramp"? How can I grasp this as a math student?
$$
dot{v}(t) = g(sin theta) − nu g(cos theta) text{sign}(v(t))
$$
Moreover, do you think there is a physical form of the equation in "Example 3: Non-smooth harmonic oscillator"? (like exp 2.)
Thank you very much in advance for your answers.
real-analysis ordinary-differential-equations dynamical-systems stability-in-odes discontinuous-functions
edited Jan 11 at 13:54
Namaste
1
asked Jan 11 at 13:23
ODumanODuman
11
$endgroup$
add a comment |
$begingroup$
The following source contains several physical examples: https://arxiv.org/pdf/0901.3583.pdf.
How can I get the differential equation in "Example 2: Brick on a frictional ramp"? How can I grasp this as a math student?
$$
dot{v}(t) = g(sin theta) − nu g(cos theta) text{sign}(v(t))
$$
Moreover, do you think there is a physical form of the equation in "Example 3: Non-smooth harmonic oscillator"? (like exp 2.)
Thank you very much in advance for your answers.
real-analysis ordinary-differential-equations dynamical-systems stability-in-odes discontinuous-functions
edited Jan 11 at 13:54
Namaste
1
asked Jan 11 at 13:23
ODumanODuman
11
$endgroup$
The following source contains several physical examples: https://arxiv.org/pdf/0901.3583.pdf.
How can I get the differential equation in "Example 2: Brick on a frictional ramp"? How can I grasp this as a math student?
$$
dot{v}(t) = g(sin theta) − nu g(cos theta) text{sign}(v(t))
$$
Moreover, do you think there is a physical form of the equation in "Example 3: Non-smooth harmonic oscillator"? (like exp 2.)
Thank you very much in advance for your answers.
real-analysis ordinary-differential-equations dynamical-systems stability-in-odes discontinuous-functions
real-analysis ordinary-differential-equations dynamical-systems stability-in-odes discontinuous-functions
edited Jan 11 at 13:54
Namaste
1
asked Jan 11 at 13:23
ODumanODuman
11
edited Jan 11 at 13:54
Namaste
1
asked Jan 11 at 13:23
ODumanODuman
11
edited Jan 11 at 13:54
Namaste
1
edited Jan 11 at 13:54
Namaste
1
edited Jan 11 at 13:54
Namaste
1
1
asked Jan 11 at 13:23
ODumanODuman
11
asked Jan 11 at 13:23
ODumanODuman
11
asked Jan 11 at 13:23
ODumanODuman
11
11
add a comment |
add a comment |
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